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1322130120 = 233517739877
BaseRepresentation
bin100111011001110…
…0001101011001000
310102010211011120020
41032303201223020
510201431130440
6335105500440
744522630523
oct11663415310
93363734506
101322130120
11619342a23
1230a941720
13180bb5b1c
14c7841bba
157b1123d0
hex4ece1ac8

1322130120 has 128 divisors (see below), whose sum is σ = 4210185600. Its totient is φ = 331001856.

The previous prime is 1322130101. The next prime is 1322130167. The reversal of 1322130120 is 210312231.

It is a super-3 number, since 3×13221301203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1322130120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1507122 + ... + 1507998.

It is an arithmetic number, because the mean of its divisors is an integer number (32892075).

Almost surely, 21322130120 is an apocalyptic number.

1322130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105092800).

1322130120 is an abundant number, since it is smaller than the sum of its proper divisors (2888055480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1322130120 is a wasteful number, since it uses less digits than its factorization.

1322130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1322130120 is about 36361.1072438670. The cubic root of 1322130120 is about 1097.5510588305.

Adding to 1322130120 its reverse (210312231), we get a palindrome (1532442351).

The spelling of 1322130120 in words is "one billion, three hundred twenty-two million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 739 877 1020 1478 1754 2040 2217 2631 2956 3508 3695 4385 4434 5262 5912 7016 7390 8770 8868 10524 11085 12563 13155 14780 14909 17540 17736 21048 22170 25126 26310 29560 29818 35080 37689 44340 44727 50252 52620 59636 62815 74545 75378 88680 89454 100504 105240 119272 125630 149090 150756 178908 188445 223635 251260 298180 301512 357816 376890 447270 502520 596360 648103 753780 894540 1296206 1507560 1789080 1944309 2592412 3240515 3888618 5184824 6481030 7777236 9721545 11017751 12962060 15554472 19443090 22035502 25924120 33053253 38886180 44071004 55088755 66106506 77772360 88142008 110177510 132213012 165266265 220355020 264426024 330532530 440710040 661065060 1322130120